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Which situations can represent the expression [tex]\(6 - x\)[/tex]? Check all that apply.

- Naomi gives some of her six pencils away.
- Six servings of dinner were decreased by a number.
- Westville has 6 fewer schools than Eastville.
- Gabrielle decreased her 6-minute mile by an unknown amount of time.

Sagot :

GinnyAnsweridn
To determine which situations can represent the expression [tex]\( 6 - \chi \)[/tex], let's analyze each situation step by step:

1. Naomi gives some of her six pencils away.
- Naomi starts with 6 pencils. If she gives away some pencils, the number of pencils she has left is 6 minus some amount, [tex]\(\chi\)[/tex].
- Therefore, this can be represented by [tex]\( 6 - \chi \)[/tex].

2. Sydney increased her collection of coins by six.
- Sydney's collection of coins increased by 6. This is an addition, not a subtraction.
- Therefore, this cannot be represented by [tex]\( 6 - \chi \)[/tex].

3. Benjamin lost six of his stickers.
- Benjamin lost exactly 6 stickers, meaning the reduction is a fixed number (6), not a variable amount.
- Therefore, this cannot be represented by [tex]\( 6 - \chi \)[/tex].

4. Six servings of dinner were decreased by a number.
- There are 6 servings of dinner, and if the number of servings is decreased by a variable amount, [tex]\(\chi\)[/tex], it can be represented as [tex]\( 6 - \chi \)[/tex].
- Therefore, this can be represented by [tex]\( 6 - \chi \)[/tex].

5. Westville has 6 fewer schools than Eastville.
- This situation describes a difference between two fixed amounts (the number of schools in Westville and Eastville), specifically 6 fewer schools.
- Therefore, this cannot be represented by [tex]\( 6 - \chi \)[/tex].

6. Gabrielle decreased her 6 -minute mile by an unknown amount of time.
- If Gabrielle's 6-minute mile time is reduced by an unknown amount, [tex]\(\chi\)[/tex], it can be written as [tex]\( 6 - \chi \)[/tex].
- Therefore, this can be represented by [tex]\( 6 - \chi \)[/tex].

Thus, the situations that can be represented by the expression [tex]\( 6 - \chi \)[/tex] are:

1. Naomi gives some of her six pencils away.
4. Six servings of dinner were decreased by a number.
6. Gabrielle decreased her 6-minute mile by an unknown amount of time.

So the correct answer is:

[1, 4, 6]
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